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This book offers supporting material for the comprehensive textbook
Mathematical Physics—A Modern Introduction to Its Foundations
authored by Sadri Hassani. The book covers mathematical
preliminaries and all of Part I in Hassani’s textbook. The
subjects covered here include the key topics necessary for
physicists to form a solid mathematical foundation: vectors and
linear maps, algebras, operators, matrices, and spectral
decomposition. In particular, the vector space concept is a central
unifying theme in later chapters of Hassani’s textbook. Detailed
solutions are provided to one third of the end-of-chapter exercises
in the first six chapters of his text. The present volume helps
upper-undergraduate and early postgraduate physics students deepen
their understanding of the mathematics that they encounter in
physics, learn physics more efficiently, and use mathematics with
more confidence and creativity. The content is thus presented
rigorously but remains accessible to physics students. New
exercises are also proposed, some with solutions, some without, so
that the total number of unsolved exercises remains unchanged. They
are chosen to help explain difficult concepts, amplify key points
in Hassani's textbook, or make further connections with
applications in physics. Taken together with Hassani's work, the
two form a self-contained set and the solutions make detailed
reference to Hassani's text. The solutions also refer to other
mathematics and physics textbooks, providing entry points to
further literature that finds a useful place in the physicist's
personal library.
The Harbinger's warnings to America expose an important, untold
story, the astounding truth about prophecy hidden from the
Christian world. This work is like a sequel, unveiling the
mysteries of prophecy. The keys to the enigma that is Bible
prophecy consist in knowing these rarely understood truths: America
is identified in the Bible and is a major player in prophecy. The
books of Job and Isaiah are the foundations of all Bible prophecy.
Aliens and giants are also mentioned in God's Word and will play a
major role in end-time events.
Quote from the book: "This is more than a book that warns the
world of what is about to happen. It is also a book that offers a
sure hope for the future. While the winter solstice of 2012 will
indeed begin the time of the greatest spiritual darkness the world
has ever known, it's not the end. It's not the end of the world;
it's not even the end of this age."
This comprehensive student manual has been designed to accompany
the leading textbook by Bernard Schutz, A First Course in General
Relativity, and uses detailed solutions, cross-referenced to
several introductory and more advanced textbooks, to enable
self-learners, undergraduates and postgraduates to master general
relativity through problem solving. The perfect accompaniment to
Schutz's textbook, this manual guides the reader step-by-step
through over 200 exercises, with clear easy-to-follow derivations.
It provides detailed solutions to almost half of Schutz's
exercises, and includes 125 brand new supplementary problems that
address the subtle points of each chapter. It includes a
comprehensive index and collects useful mathematical results, such
as transformation matrices and Christoffel symbols for commonly
studied spacetimes, in an appendix. Supported by an online table
categorising exercises, a Maple worksheet and an instructors'
manual, this text provides an invaluable resource for all students
and instructors using Schutz's textbook.
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